4 papers
On the ergodicity breaking in well-behaved Generalized Langevin Equations
Giuseppe Procopio, Chiara Pezzotti, Massimiliano Giona
The phenomenon of ergodicity breaking of stochastic dynamics governed by Generalized Langevin Equations (GLE) in the presence of well-behaved exponentially decaying dissipative mem…
Dynamic fluctuation-dissipation theory for Generalized Langevin Equations: constructive constraints, stability and realizability
Massimiliano Giona, Giuseppe Procopio, Chiara Pezzotti
Using the initial-value formulation, a dynamic theory for systems evolving according to a Generalized Langevin Equation is developed, providing more restrictive conditions on the e…
Stochastic hydrodynamic velocity field and the representation of Langevin equations
Massimiliano Giona, Davide Cocco, Giuseppe Procopio +2
The fluctuation-dissipation theorem, in the Kubo original formulation, is based on the decomposition of the thermal agitation forces into a dissipative contribution and a stochasti…
Another normality is possible. Distributive transformations and emergent Gaussianity
Massimiliano Giona, Chiara Pezzotti, Giuseppe Procopio
A distributional route to Gaussianity, associated with the concept of Conservative Mixing Transformations in ensembles of random vector-valued variables, is proposed. This route is…